
The generator of the above transformations is defined as [1]}:
\(\delta _{\mathbf {\epsilon }}\Phi ^i(\mathbf {x})\equiv {\tilde{\Phi }}^i(\mathbf {x})-{{\Phi }}^i(\mathbf {x}):=-i\epsilon ^aG_a(\mathbf {x})\Phi ^i(\mathbf {x})\equiv -i\epsilon ^aG_a\Phi ^i(\mathbf {x})\) 
